Gillian had five times the number of toy blocks as Warren. Gillian used all her blocks to build 12 identical planes. Warren used all his blocks to build 6 identical planes. Gillian used 9 more blocks than Warren for each plane. How many blocks did Warren have?
| |
Gillian |
Warren |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of toy blocks that Warren used for each plane = 1 u
Number of toy blocks that Gillian used for each plane = 1 u + 9
Number of toy blocks that Warren had
= 6 x 1 u
= 6 u
Number of toy blocks that Gillian had
= 12 x (1 u + 9)
= 12 u + 108
Gillian had five times the number of toy blocks as Warren.
5 x 6 u = 12 u + 108
30 u = 12 u + 108
30 u - 12 u = 108
18 u = 108
1 u = 108 ÷ 18 = 6
Number of blocks that Warren had
= 6 u
= 6 x 6
= 36
Answer(s): 36
